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Finding the Third Proportional to 46,176 and 99,413

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Solution

The third proportional to 46,176 and 99,413 is: 214,027.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,176 : 99,413 = 99,413 : x
  2. Step 2: Convert to fraction form
    46,176/99,413 = 99,413/x
  3. Step 3: Cross multiply
    46,176x = 99,413 × 99,413
  4. Step 4: Simplify right side
    46,176x = 9,882,944,569
  5. Step 5: Solve for x
    x = 9,882,944,569/46,176
  6. Step 6: Final answer
    x = 214,027.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.